Great app idea!
Maybe Send2Band or Note@Band could do the trick depending what platform you're on.
I think the Send2Band dev is active on here.. this seems like something he could easily implement.
The links for those apps of course can be found
here.
UPDATE:
I just tested Send2Band and it worked great! I wrote my 'Grocery List' as a list in the app and sync'd it to the band. Reads well and might be what you're looking for.